Proposition Replicated

Proposition VIII.13

If there be as many numbers as we please in continued proportion, and each by multiplying itself make some number, the products will be proportional; and if the original numbers by multiplying the products make certain numbers, the latter will also be proportional.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:VIII.13

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

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Incoming (2)

VII.27 VIII.2

PropositionProposition VIII.13

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Depends on (2)

VII.27Proposition VII.27If two numbers be prime to one another, and each by multiplying itself make a certain number, the products will be…
VIII.2Proposition VIII.2To find numbers in continued proportion, as many as may be prescribed, and the least that are in a given ratio.

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